Question

let x be a non-zero real number so that x+1/x is an integer. Prove, by strong induction, that x^n+1/(x^n) is an integer, for all integers n is less than or equal to 1.

Answer 1

Answer:

let x be a non-zero real number so that x+1/x is an integer. Prove, by strong induction, that x^n+1/(x^n) is an integer, for all integers n is less than or equal to 1